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Finding the Fourth Proportional to 3,642.89, 5,464.06 and 1,452.11

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Solution

The fourth proportional to 3,642.89, 5,464.06 and 1,452.11 is: 2,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.89 : 5,464.06 = 1,452.11 : x
  2. Step 2: Convert to fraction form
    3,642.89/5,464.06 = 1,452.11/x
  3. Step 3: Cross multiply
    3,642.89x = 5,464.06 × 1,452.11
  4. Step 4: Simplify right side
    3,642.89x = 7,934,385.22
  5. Step 5: Solve for x
    x = 7,934,385.22/3,642.89
  6. Step 6: Final answer
    x = 2,178.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.